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"Victory goes to the player who makes the next-to-last mistake - Chessmaster Savielly Grigorievitch Tartakower (1887-1956)"

Monday, June 12, 2006

Brain Teasers...


1) Last week I decided to cycle to my uncle's house. On the first day, I cycled half of the distance. On day 2, I cycled one half of the remaining distance. On day 3, I cycled three quarters of the remaining distance. On day 4, I cycled 10 miles. On day 5 I cycled two thirds of the remaining distance and on the final day I cycled the remaining 5 miles. How far is it to my uncle's house?

2) Find a common 12 letter english word containing three P's, two R's, two A's, one O, one E, one D, one T, and one other vowel.

5 comments:

  1. total distance = q
    q = 1/2q + 1/4q + 3/16q + 10 + 15
    q = 8/16q + 4/16q =3/16q + 15
    q = 15/16q + 15
    1/16q = 15
    q = 240

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  2. Appropriated

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  3. Bugger, missed out a day in the distance question and now don't have time to redo.

    Oh well!

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  4. Well done, Mark. You've got the word right but, as you say, you've not got the distance quite right.

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  5. total distance = x
    x = 1/2x + 1/4x + 3/16x + 10 + 2/3(1/16x - 10) + 5
    x = 8/16x + 4/16x + 3/16x + 10 + 1/24x - 20/3 + 5
    x = 15/16x + 10 + 1/24x -20/3 + 5
    x = 45/48x + 2/48x + 10+ 5 -20/3
    x = 47/48x + 15 - 20/3
    x = 47/48x - 320/48 +720/48
    48x = 47x -320 + 720
    48x - 47x = 720 - 320
    x = 400

    A perfect lunchtime challenge, thank you Jonathan!

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